Set up a stoichiometric table for each of the following reactions and express the concentr...

Set up a stoichiometric table for each of the following reactions and express the concentration of each species in the reaction as a function of conversion evaluating all constants (e.g., ε, Θ). Then, assume the reaction follows an elementary rate law, and write the reaction rate solely as a function of conversion, i.e.

(a) For the liquid-phase reaction

the entering concentrations of ethylene, oxide and water are 1 lb-mol/ft3 and 3.47 lb-mol/ft3 (62.41 lbm/ft3 ÷ 18), respectively. If A- = 0.1 dm3/mol · s at 300 K with E - 12,500 cal/mol, calculate the CSTR space-time for 90% conversion at 300 K and at 350 K.

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(b) For the isothermal, isobaric gas-phase pyrolysis

pure ethane enters the flow reactor at 6 atm and 1100 K. How would your equation for the concentration and reaction rate change if the reaction were to be carried out in a constant-volume batch reactor?

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(c) For the isothermal, isobaric, catalytic gas-phase oxidation

the feed enters a PBR at 6 atm and 260 °C and is a stoichiometric mixture of only oxygen and ethylene.

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(d) For the isothermal, isobaric, catalytic gas-phase reaction carried out in a fluidized CSTR

the feed enters at 6 atm and 170 °C and is a stoichiometric mixture. What catalyst weight is required to reach 80% conversion in a fluidized CSTR at 170°C and at 270°C? The rate constant is defined wrt benzene and vQ = 50 dm3/min.